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Finding the Third Proportional to 30,744 and 62,613

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Solution

The third proportional to 30,744 and 62,613 is: 127,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744 : 62,613 = 62,613 : x
  2. Step 2: Convert to fraction form
    30,744/62,613 = 62,613/x
  3. Step 3: Cross multiply
    30,744x = 62,613 × 62,613
  4. Step 4: Simplify right side
    30,744x = 3,920,387,769
  5. Step 5: Solve for x
    x = 3,920,387,769/30,744
  6. Step 6: Final answer
    x = 127,517.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.